0607223v1

related topics
{field, particle, equation}
{wave, scattering, interference}
{energy, state, states}
{particle, mechanics, theory}
{state, algorithm, problem}
{state, states, entangled}
{equation, function, exp}

Klein paradox for bound states - A puzzling phenomenon

Nagalakshmi A Rao, B. A. Kagali

abstract: While Klein paradox is often encountered in the context of scattering of relativistic particles at a potential barrier, we presently discuss a puzzling situation that arises with the Klein-Gordon equation for bound states. With the usual minimal coupling procedure of introducing the interaction potential, a paradoxical situation arises when the 'hill' becomes a 'well', simulating a bound-state like situation. The phenomenal phenomenon for bound states is contrary to the conventional wisdom of quantum mechanics and is analogous to the well-known Klein paradox, a generic property of relativistic wave equations. PACs Nos. 03.65.Ge, 03.65.Pm

oai_identifier:
oai:arXiv.org:quant-ph/0607223
categories:
quant-ph
comments:
6 pages
arxiv_id:
quant-ph/0607223
journal_ref:
Mapana, MUS Vol.5(2) 2006, 14 - 18
created:
2006-07-31

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